22033 has 4 divisors (see below), whose sum is σ = 24048. Its totient is φ = 20020.

The previous prime is 22031. The next prime is 22037. The reversal of 22033 is 33022.

22033 is nontrivially palindromic in base 12.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 22033 - 2¹ = 22031 is a prime.

It is a Duffinian number.

22033 is a modest number, since divided by 33 gives 22 as remainder.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (22031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 991 + ... + 1012.

It is an arithmetic number, because the mean of its divisors is an integer number (6012).

2²²⁰³³ is an apocalyptic number.

It is an amenable number.

22033 is a deficient number, since it is larger than the sum of its proper divisors (2015).

22033 is a wasteful number, since it uses less digits than its factorization.

22033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014.

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 22033 is about 148.4351710344. The cubic root of 22033 is about 28.0343965039.

Adding to 22033 its reverse (33022), we get a palindrome (55055).

It can be divided in two parts, 220 and 33, that multiplied together give a triangular number (7260 = T₁₂₀).

The spelling of 22033 in words is "twenty-two thousand, thirty-three".